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Finding the Third Proportional to 63,712.41 and 148,801.64

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Solution

The third proportional to 63,712.41 and 148,801.64 is: 347,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,712.41 : 148,801.64 = 148,801.64 : x
  2. Step 2: Convert to fraction form
    63,712.41/148,801.64 = 148,801.64/x
  3. Step 3: Cross multiply
    63,712.41x = 148,801.64 × 148,801.64
  4. Step 4: Simplify right side
    63,712.41x = 22,141,928,252.69
  5. Step 5: Solve for x
    x = 22,141,928,252.69/63,712.41
  6. Step 6: Final answer
    x = 347,529.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.